On lower-bound estimates of the Lyapunov dimension and topological entropy for the Rossler systems
Abstract
In this paper, on the example of the Rössler systems, the application of the Pyragas time-delay feedback control technique for verification of Eden’s conjecture on the maximum of local Lyapunov dimension, and for the estimation of the topological entropy is demonstrated. To this end, numerical experiments on computation of finite-time local Lyapunov dimensions and finite-time topological entropy on a Rössler attractor and embedded unstable periodic orbits are performed. The problem of reliable numerical computation of the mentioned dimension-like characteristics along the trajectories over large time intervals is discussed.
Main Authors
Format
Conferences
Conference paper
Published
2019
Series
Subjects
Publication in research information system
Publisher
IFAC; Elsevier
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202108034436Use this for linking
Review status
Peer reviewed
ISSN
2405-8971
DOI
https://doi.org/10.1016/j.ifacol.2019.12.213
Conference
IFAC Workshop on Time Delay Systems
Language
English
Published in
IFAC-PapersOnLine
Is part of publication
15th IFAC Workshop on Time Delay Systems TDS 2019 Sinaia, Romania, 9–11 September 2019
Citation
- Kuznetsov, N. V., Mokaev, T. N., Kudryashova, E. V., Kuznetsova, O. A., & Danca, M.-F. (2019). On lower-bound estimates of the Lyapunov dimension and topological entropy for the Rossler systems. In D. Danciu (Ed.), 15th IFAC Workshop on Time Delay Systems TDS 2019 Sinaia, Romania, 9–11 September 2019 (52). IFAC; Elsevier. IFAC-PapersOnLine. https://doi.org/10.1016/j.ifacol.2019.12.213
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Additional information about funding
This work was supported by the Russian Science Foundation 19-41-02002.
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